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Finding the Fourth Proportional to 3,066.80, 4,600.20 and 2,289.20

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Solution

The fourth proportional to 3,066.80, 4,600.20 and 2,289.20 is: 3,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.80 : 4,600.20 = 2,289.20 : x
  2. Step 2: Convert to fraction form
    3,066.80/4,600.20 = 2,289.20/x
  3. Step 3: Cross multiply
    3,066.80x = 4,600.20 × 2,289.20
  4. Step 4: Simplify right side
    3,066.80x = 10,530,777.84
  5. Step 5: Solve for x
    x = 10,530,777.84/3,066.80
  6. Step 6: Final answer
    x = 3,433.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.